Question

What is the perpendicular and parallel line of 8x + 5y=4

Answer 1

Perpendicular:
`y = (5)/(8)x+4`

Parallel:
`y=-(8)/(5) x+RandomNumberNot4`

Explanation:

I'm going to rewrite the equation:

`y=-(8)/(5) x+(4)/(5)`

Perpendicular means that the slope is the opposite reciprocal.

Slope =
`(5)/(8)`

`y = (5)/(8)x+4`

Parallel means that the slope is the same but the y - intercept is different:

`y=-(8)/(5) x+RandomNumberNot4`